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Finding the Fourth Proportional to 9,909.34, 13,675 and 5,433.18

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Solution

The fourth proportional to 9,909.34, 13,675 and 5,433.18 is: 7,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.34 : 13,675 = 5,433.18 : x
  2. Step 2: Convert to fraction form
    9,909.34/13,675 = 5,433.18/x
  3. Step 3: Cross multiply
    9,909.34x = 13,675 × 5,433.18
  4. Step 4: Simplify right side
    9,909.34x = 74,298,736.50
  5. Step 5: Solve for x
    x = 74,298,736.50/9,909.34
  6. Step 6: Final answer
    x = 7,497.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.